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Finding the Fourth Proportional to 531,547.47, 733,713.26 and 316,754.91

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Solution

The fourth proportional to 531,547.47, 733,713.26 and 316,754.91 is: 437,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,547.47 : 733,713.26 = 316,754.91 : x
  2. Step 2: Convert to fraction form
    531,547.47/733,713.26 = 316,754.91/x
  3. Step 3: Cross multiply
    531,547.47x = 733,713.26 × 316,754.91
  4. Step 4: Simplify right side
    531,547.47x = 232,407,276,053.33
  5. Step 5: Solve for x
    x = 232,407,276,053.33/531,547.47
  6. Step 6: Final answer
    x = 437,227.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.